cleaner vs detergent

cleaner and detergent both are nouns.

Word	Noun	Adjective	Verb	Adverb
cleaner	Yes	No	No	No
detergent	Yes	Yes	No	No

As nouns, detergent is a hyponym of cleaner; that is, detergent is a word with a more specific, narrower meaning than cleaner:

cleaner: a preparation used in cleaning something
detergent: a cleansing agent that differs from soap but can also emulsify oils and hold dirt in suspension

cleaner (noun)	detergent (noun)
a preparation used in cleaning something	a cleansing agent that differs from soap but can also emulsify oils and hold dirt in suspension
someone whose occupation is cleaning	a surface-active chemical widely used in industry and laundering
the operator of dry-cleaning establishment

cleaner (adjective)	detergent (adjective)
	having cleansing power